y = 3x^2 + 2

Question

Answers
Linear, not a function
Nonlinear, not a function
Linear, function
Nonlinear, function

Answer 1

The equation \( y = 3x^2 + 2 \) is a quadratic equation. Let's analyze its properties:

1. Type: This equation is nonlinear because it includes a squared term, \( x^2 \).
2. Function: It is a function because for every input \( x \), there is exactly one output \( y \). A function is defined as a relation where each input corresponds to one output.

Therefore, the correct classification for the equation \( y = 3x^2 + 2 \) is:

Nonlinear, function.